Let $\varphi,\psi$ be the solutions to the equations (1.1), (3.7), respectively. There exist constants $\Lambda,\lambda,C>0$ depending on $n,\omega_{X},\gamma,p,$ and $\Psi_{p}$ such that

$$\sup_{X}(-(-\psi+\Lambda)^{\beta}-\lambda\varphi)\leq C$$

where $\beta=\frac{n-p}{n}\in(0,1)$ if $p<n$, and if $p=n$, we choose an arbitrary $\beta=N^{-1}\in(0,1)$ and the constants $\lambda,\Lambda,C$ depend additionally on $N$.